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How do you write 506,000506,000 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

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Convert between standard and scientific notationright chevron icon

Full solution

Q. How do you write 506,000506,000 in scientific notation?\newline______×10______\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}
  1. Find Coefficient: Determine the coefficient for 506,000506,000 in scientific notation.\newlineTo find the coefficient, we need to move the decimal point to the left until we have a number between 11 and 1010.\newline506,000506,000 becomes 5.065.06 when we move the decimal point 55 places to the left.\newlineCoefficient: 5.065.06
  2. Determine Sign: Decide whether the exponent in scientific notation will be positive or negative.\newlineSince 506,000506,000 is a number greater than 1010, the exponent in scientific notation will be positive.
  3. Calculate Exponent: Calculate the exponent for 506,000506,000 in scientific notation.\newlineWe moved the decimal point 55 places to the left to get the coefficient 5.065.06.\newlineTherefore, the exponent will be 55.\newline506,000=5.06×105506,000 = 5.06 \times 10^5\newlineExponent: 55
  4. Write in Scientific Notation: Write 506,000506,000 in scientific notation using the coefficient and exponent.\newlineWe have determined that the coefficient is 5.065.06 and the exponent is 55.\newlineSo, 506,000506,000 in scientific notation is written as 5.06×1055.06 \times 10^5.

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